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Finding the Third Proportional to 55,484.63 and 78,509.63

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Solution

The third proportional to 55,484.63 and 78,509.63 is: 111,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,484.63 : 78,509.63 = 78,509.63 : x
  2. Step 2: Convert to fraction form
    55,484.63/78,509.63 = 78,509.63/x
  3. Step 3: Cross multiply
    55,484.63x = 78,509.63 × 78,509.63
  4. Step 4: Simplify right side
    55,484.63x = 6,163,761,217.64
  5. Step 5: Solve for x
    x = 6,163,761,217.64/55,484.63
  6. Step 6: Final answer
    x = 111,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.